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1. 2. 3. 4. 5. € Precalculus Chapter 3 Review 3 −x State whether the function f (x) = represents exponential growth or 4 decay. Then describe its end behavior. The population of Scary Heights was 85,000 in 1900 and it has been decreasing at the rate of 1.25% per year. € a) Estimate the population in 1947. b) Estimate when the population reached 40,000. Solve e 2x = 75 by changing the equation to logarithmic form. Sketch the graph of y = 2 − ln(3 − x) . Use your calculator to find the exponential regression equation for the data. Then estimate the y‐value associated with x = 4. x 2 6 8 10 € y 1.3 6.7 8.5 12.6 6. Use the properties of logarithms to write the expression log 4 3y as a sum, x difference, or multiples of logarithms of x, y, or constants. 7. Solve 17 − 4 log x = 25 . 8. How much greater was the amplitude of the ground motion in the 1990 Iran € earthquake (R = 7.7) than in the 1988 Armenia earthquake (R = 6.9)? e x − e−x € = 7.5 . 9. Solve 2 1 10. Solve ln(2x) − ln(7x + 15) = 0 . 2 € Chapter 3 Standardized Test Prep Qs €